Question

]Choose the equation of the line passing through the point (6, -2) and parallel to y = x + 7.

Answer 1

Parallel lines have the same slope, therefore, the line you are looking for will have a slope of 1.

y - y1 = m(x - x1) -- using slope 1 and points(6,-2)
y -(-2) = 1(x - 6)
y + 2 = x - 6
y = x - 6 - 2
y = x - 8 <-- your equation